00:01
The problem says that the height and the diameter of a vertical right circular cylindrical tank are 28 feet and 18 feet respectively.
00:20
This tank is full of liquid and the weight of the liquid is 62 .4 pound per feet cube.
00:33
We need to calculate the work done to pump this liquid to the level of the top of the tank.
00:42
Since we have the diameter is equal to 18 feet, so we can write radius is equal to diameter over 2 or we can say 18 over 2 which is equals to 9 feet.
00:59
Now we know that volume of a cylindrical tank is equals to pi times radius square times height and we are representing height as y.
01:17
And now for the small change in volume we can write delta v is equals to pi r square times delta y.
01:30
Now substitute the value of radius.
01:34
So we can write delta v is equal to pi times 9 square times delta y.
01:43
Or we can say change in volume delta v is equals to 81 times pi times delta y.
01:54
Now let's calculate the force expression and this is equals to change.
02:02
Change in volume delta v times 62 .4...